Section 1.6 Multiplication and Division of Real Numbers 67 Student Check 5 a. V = πr2h; V = 130,288 in.3 or approximately 564 gal b. i. in table below ii. The average daily change in price is -$0.21. Date Closing Price Daily Change in Price Percent Change in Price 8/13/2010 $6.41 -$0.23 - 0.0346 or - 3.46% 8/12/2010 $6.64 -$0.04 - 0.0060 or - 0.60% 8/11/2010 $6.68 -$0.39 - 0.0552 or - 5.52% 8/10/2010 $7.07 -$0.18 - 0.0248 or - 2.48% 8/9/2010 $7.25 n/a n/a 1. (-4)(-5) 2. - 60 15 ( ( ) 4 ) ( ( ) 5 ) ENTER ( ) 6 4 1 5 ENTER 3. (-6)2 4. -62 5. (-4)3 ( ( ) 6 ) x2 ENTER ( ) 6 x2 ENTER ( ( ) 4 ) ENTER 3 SUMMARY OF KEY CONCEPTS 1. The product or quotient of two real numbers with the same sign is positive. The product or quotient of two real numbers with different signs is negative. 2. The product of an even number of negative numbers is positive. The product of an odd number of negative numbers is negative. 3. An exponent indicates how many times a number is multiplied by itself or used as a factor. a. A negative number raised to an odd exponent is negative. b. A negative number raised to an even exponent is positive. c. When a negative sign is in the base of an exponential expression, it should be repeated in the multiplication. d. When a negative sign is not in parentheses of an exponential expression, we find the opposite of the value of the exponential expression. The negative sign is not repeated. 4. Division by zero is undefined but 0 divided by a nonzero number is 0. 5. Evaluate an algebraic expression by replacing the variable with the given number. Simplify using the order of operations. 6. To solve real-life problems, express the problem mathematically and then simplify. GRAPHING CALCULATOR SKILLS The calculator can assist us with multiplying and dividing real numbers as well as evaluating exponential expressions. The caret symbol is used with exponents. To enter the power of 2, you may either press the x2 key or you may use and 2. If parentheses are given in the problem, you must enter them on the calculator. Examples:
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